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Question

Two sides of a parallelogram are in the ratio 4 : 3. If its perimeter is 56 cm, find the lengths of its sides.


A

14 cm, 10 cm, 14 cm and 10 cm

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B

16 cm, 12 cm, 16 cm and 12 cm

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C

14 cm, 12 cm, 14 cm and 12 cm

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D

16 cm, 10 cm, 16 cm and 10 cm

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Solution

The correct option is B

16 cm, 12 cm, 16 cm and 12 cm


Two sides of a parallelogram are in the ratio 4 : 3.

Let the two sides be 4x cm and 3x cm.

In a parallelogram, opposite sides are equal and parallel. So, they are also in the ratio of 4 : 3, i.e. 4x cm and 3x cm.

Perimeter = 4x+3x+4x+3x

56=14x

x=5614

x=4

4x=16 and 3x=12

Hence, lengths of its sides are 16 cm, 12 cm, 16 cm and 12 cm.


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